# Mathematics 1010 online

## Scientific Notation

An application of Powers is the scientific notation of numbers. The underlying basic fact is that a power of 10 whose exponent is a natural number can be easily evaluated: the exponent gives the number of zeros. For example:

Negative exponents may be used to indicate numbers smaller than , e.g.,

Scientific Notation is used to indicate numbers that are very large or very small. We write a number as a factor whose absolute values is between and , and a power of . That power is indicated either by an actual power with an exponent, or the letter followed by just the exponent.

Here are some examples: